A criterion to predict instability in rate-dependent materials is developed
. It is implemented for PET fibers in tension at three temperatures: 60, 75
, and 80 degrees C. At 60 degrees C, necking is always observed, whereas at
80 degrees C, the deformation is uniform, and 75 degrees C marks a transit
ion region, where necking is observed only at higher speeds and the deforma
tion is otherwise uniform. As a necessary tool in the implementation of thi
s criterion, the stress-strain behavior of PET is modeled using a combinati
on of an Eyring process, a Gaussian network, and a linear elastic element.
The resulting instability model gives predictions that are generally consis
tent with the experimental observations at all temperatures. (C) 1999 John
Wiley & Sons, Inc.